A 1.6 kg mass starts from rest at point A and moves along the x axis subject to the potential energy shown in the figure below.  (a) Determine the speed of the mass at points B, C, D.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question

A 1.6 kg mass starts from rest at point A and moves along the x axis subject to the potential energy shown in the figure below.
 (a) Determine the speed of the mass at points B, C, D.

This graph represents the variation in Potential Energy (PE) with respect to position (x). The graph plots PE on the vertical axis and distance (x) on the horizontal axis. Each axis is labeled with its corresponding units: joules (J) for PE and meters (m) for distance.

### Description of the Graph:

- **Y-Axis (Vertical):** Represents the Potential Energy (PE) measured in joules (J).
- **X-Axis (Horizontal):** Represents the position (x) measured in meters (m).

### Key Points on the Graph:

1. **Point A (2m, 30J):** At a position of 2 meters, the potential energy is 30 joules.
2. **Point B (4m, 5J):** At a position of 4 meters, the potential energy drops to 5 joules.
3. **Point C (6m, 20J):** At a position of 6 meters, the potential energy increases to 20 joules.
4. **Point D (8m, 15J):** At a position of 8 meters, the potential energy decreases to 15 joules.
5. **Point E (10m, 25J):** At a position of 10 meters, the potential energy rises again to 25 joules.

### Explanation of the Graph's Curve:
- **Segment A to B:** The potential energy decreases steeply from 30 J to 5 J between 2m and 4m.
- **Segment B to C:** The potential energy increases from 5 J to 20 J between 4m and 6m.
- **Segment C to D:** The potential energy decreases from 20 J to 15 J between 6m and 8m.
- **Segment D to E:** The potential energy increases from 15 J to 25 J between 8m and 10m.

This graph demonstrates the relationship between potential energy and position, showcasing points where potential energy either increases or decreases as distance changes. Students should observe how the potential energy fluctuates across different points, reflecting energy transitions that could be associated with various physical contexts, such as the movement of an object in a gravitational field or changes in elastic potential energy.

For a deeper understanding, additional context about the specific system being analyzed would elucidate the physical principles represented by this graph.
Transcribed Image Text:This graph represents the variation in Potential Energy (PE) with respect to position (x). The graph plots PE on the vertical axis and distance (x) on the horizontal axis. Each axis is labeled with its corresponding units: joules (J) for PE and meters (m) for distance. ### Description of the Graph: - **Y-Axis (Vertical):** Represents the Potential Energy (PE) measured in joules (J). - **X-Axis (Horizontal):** Represents the position (x) measured in meters (m). ### Key Points on the Graph: 1. **Point A (2m, 30J):** At a position of 2 meters, the potential energy is 30 joules. 2. **Point B (4m, 5J):** At a position of 4 meters, the potential energy drops to 5 joules. 3. **Point C (6m, 20J):** At a position of 6 meters, the potential energy increases to 20 joules. 4. **Point D (8m, 15J):** At a position of 8 meters, the potential energy decreases to 15 joules. 5. **Point E (10m, 25J):** At a position of 10 meters, the potential energy rises again to 25 joules. ### Explanation of the Graph's Curve: - **Segment A to B:** The potential energy decreases steeply from 30 J to 5 J between 2m and 4m. - **Segment B to C:** The potential energy increases from 5 J to 20 J between 4m and 6m. - **Segment C to D:** The potential energy decreases from 20 J to 15 J between 6m and 8m. - **Segment D to E:** The potential energy increases from 15 J to 25 J between 8m and 10m. This graph demonstrates the relationship between potential energy and position, showcasing points where potential energy either increases or decreases as distance changes. Students should observe how the potential energy fluctuates across different points, reflecting energy transitions that could be associated with various physical contexts, such as the movement of an object in a gravitational field or changes in elastic potential energy. For a deeper understanding, additional context about the specific system being analyzed would elucidate the physical principles represented by this graph.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Knowledge Booster
Kinetic energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON